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Finding the Fourth Proportional to 3,661.02, 5,053.82 and 2,821.41

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Solution

The fourth proportional to 3,661.02, 5,053.82 and 2,821.41 is: 3,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.02 : 5,053.82 = 2,821.41 : x
  2. Step 2: Convert to fraction form
    3,661.02/5,053.82 = 2,821.41/x
  3. Step 3: Cross multiply
    3,661.02x = 5,053.82 × 2,821.41
  4. Step 4: Simplify right side
    3,661.02x = 14,258,884.18
  5. Step 5: Solve for x
    x = 14,258,884.18/3,661.02
  6. Step 6: Final answer
    x = 3,894.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.